852968826 has 64 divisors (see below), whose sum is σ = 1931765760. Its totient is φ = 278918640.

The previous prime is 852968801. The next prime is 852968849. The reversal of 852968826 is 628869258.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559085 + ... + 1559631.

It is an arithmetic number, because the mean of its divisors is an integer number (30183840).

Almost surely, 2^852968826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852968826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965882880).

852968826 is an abundant number, since it is smaller than the sum of its proper divisors (1078796934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852968826 is a wasteful number, since it uses less digits than its factorization.

852968826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 852968826 is about 29205.6300394290. The cubic root of 852968826 is about 948.3698084534.

The spelling of 852968826 in words is "eight hundred fifty-two million, nine hundred sixty-eight thousand, eight hundred twenty-six".